Constraint for the weighted return

Kinds Of Fraudulent Behavior Relating To Health Care Services
October 29, 2020
Marketing Communications Plan
October 29, 2020

Use the table below to answer the following question(s).

Qualis Investments is a private limited business that manages personal financial portfolios. The company manages six mutual funds and has a client that has acquired $750,000 from an inheritance. Characteristics of the funds are given in the table below.

Qualis Mutual Fund Data
Expected Annual Return Risk Measure
1 Qualis Low-priced Stock Fund 7.23% 11.87
2 Qualis Multinational Fund 8.42% 12.62
3 Qualis Mid-cap Stock Fund 6.66% 13.72
4 Qualis Mortgage Fund 2.72% 3.37
5 Qualis Income Equity Fund 8.89% 8.4
6 Qualis Balanced Fund 3.50% 6.91

The company recommends that no more than $300,000 be invested in any individual fund, and that at least $80,000 be invested in each of the mid-cap stock and mortgage fund. The total amount invested in the low-priced and multinational funds are at least 35% of the total investment. The client would like an average return of at least 6%. Assume that X1- X6 represent the dollar amounts invested in funds 1 through 6, respectively.

Which of the following is the constraint for the weighted return?

( 7.23 X1 + 8.42 X2 + 6.66 .X3 + 2.72 X4 + 8.89 X5 + 3.5 X6 ) / 750,000
7.23 X1 + 8.42 X2 + 6.66 .X3 + 2.72 X4 + 8.89 X5 + 3.5 X6 ≥ 6.00
X1 + X2 + X3 + X4 + X5 + X6 = 750,000
( 7.23 X1 + 8.42 X2 + 6.66 .X3 + 2.72 X4 + 8.89 X5 + 3.5 X6 ) / 750,000 ≥ 6.00
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